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Finding the Fourth Proportional to 13,733.79, 18,952.58 and 7,446.16

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Solution

The fourth proportional to 13,733.79, 18,952.58 and 7,446.16 is: 10,275.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,733.79 : 18,952.58 = 7,446.16 : x
  2. Step 2: Convert to fraction form
    13,733.79/18,952.58 = 7,446.16/x
  3. Step 3: Cross multiply
    13,733.79x = 18,952.58 × 7,446.16
  4. Step 4: Simplify right side
    13,733.79x = 141,123,943.09
  5. Step 5: Solve for x
    x = 141,123,943.09/13,733.79
  6. Step 6: Final answer
    x = 10,275.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.